Bayes Statistical Analysis Of Kumaraswamy Distribution

Kumaraswamy distribution for random variables of hydrology has important research significance,such as rainfall,date flow,so the statistical scholars Kumaraswamy distribution in our country is increasingly attention and further study of this problem,this paper is mainly to study the distribution of Kumaraswamy bayesian statistical analysis problems.This article is divided into three parts altogether.The first part mainly introduces the research background of the Bayes estimation and shielding data.The main conclusions of papers in the second part and the third part,the second part mainly discusses the distribution of Kumaraswamy respectively under the absolute value loss using nuclear estimates that the structure parameters of the corresponding empirical Bayes(EB)unilateral test function,under the right conditions proves that the proposed EB is asymptotically optimal test function,and the convergence rate of the EB testing functions are obtained.The third part of this paper is mainly discussed in the case of based on block data,independent,not at the cell block and failure cases studied series Kumaraswamy distribution of components in the system reliability estimation problem,and in square loss,LINEX loss and entropy loss function,calculate the component life and reliability index of the Bayes estimates,at the same time this paper also discussed the number of truncated sample cases,using the maximum likelihood estimation and the Bayes estimation to calculate the life parameters and maximum likelihood estimation of the reliability index and the Bayes estimation.